Multiplicative Function Mean Values: Asymptotic Estimates
P. D. T. A. Elliott
TL;DR
This paper improves asymptotic estimates for the mean values of multiplicative functions, relaxing classical conditions in analytic number theory to broaden applicability.
Contribution
It introduces weaker conditions for Wirsing-type mean-value results, advancing the theoretical understanding of multiplicative functions.
Findings
Established new asymptotic estimates under relaxed conditions
Extended classical results to broader classes of multiplicative functions
Provided theoretical framework for future research in number theory
Abstract
Classical mean-value results of Wirsing type in analytic number theory are established under weaker than classical conditions.
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Taxonomy
TopicsAnalytic Number Theory Research · Algebraic Geometry and Number Theory · Meromorphic and Entire Functions